2.2.3 Flowchart and Paragraph Proofs − Worksheet
Example 1: 1. Use the given flowchart proof to write a two-column proof. Given: ∠ 1 ≅ ∠ 2 Prove: ∠ 1 and ∠ 2 are right angles. Flowchart proof:
∠ 1 ≅ ∠ 2
Given
∠ 1 and ∠ 2 are supplementary.
∠ 1 and ∠ 2 are right angles.
≅ supp. ∠ s → rt. ∠ s
Lin. Pair Thm.
2. Use the given two-column proof to write a flowchart proof. Given: ∠ 2 and ∠ 4 are supplementary.
1 2
Prove: m ∠ 2 = m ∠ 3 Two-column proof:
3 4
Statements
Reasons
1. Given 2. Lin. Pair Thm. 3. ≅ Supps. Thm. Steps 1, 2 4. Def. of ≅ ∠ s
1. ∠ 2 and ∠ 4 are supplementary. 2. ∠ 3 and ∠ 4 are supplementary. 3. ∠ 2 ≅ ∠ 3 4. m ∠ 2 = m ∠ 3
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